Can I read Miyashita Action in Strongly Groupoid Graded Rings on EtoBox?

Miyashita Action in Strongly Groupoid Graded Rings by Öinert, Johan; Lundström, Patrik is a scholarly article available to read on EtoBox.

What is Miyashita Action in Strongly Groupoid Graded Rings about?

We determine the commutant of homogeneous subrings in strongly groupoid graded rings in terms of an action on the ring induced by the grading. Thereby we generalize a classical result of Miyashita from the group graded case to the groupoid graded situation. In the end of the article we exemplify this result. To this end, we show, by an explicit construction, that given a finite groupoid $G$, equipped with a nonidentity morphism $t : d(t) \to c(t)$, there is a strongly $G$-graded ring $R$ with the properties that each $R_s$, for $s \in G$, is nonzero and $R_t$ is a nonfree left $R_{c(t)}$-module.

Author

Öinert, Johan; Lundström, Patrik

Published

2010

Language

EN